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Ratio Tape Diagrams: Given the Difference — Easy Worksheet 2
Grade 6 · Whoobee Name: ____________________ Date: __________
Use the tape diagram. Find the value of one box first, then answer the question.
How to solve
The difference fills the extra boxes in the longer tape. Divide the difference by the number of extra boxes to find the value of one box. Then multiply: an amount = its number of boxes × the value of one box. For a ratio of 4 : 5 with 3 more dogs than cats, 1 extra box is 3, so there are 4 × 3 = 12 cats, 5 × 3 = 15 dogs and 27 animals.
Example
On a bookshelf, the ratio of comic books to novels is 3 : 5. There are 4 more novels than comic books. What is the value of each box?
Not quite. The answer is
💡 The 6 extra red marbles fill the 2 extra boxes. 6 ÷ 2 = 3, so each box is 3.
✓ Correct!
Not quite. The answer is
💡 The 6 extra red marbles fill the 2 extra boxes. 6 ÷ 2 = 3, so each box is 3.
💡 How to solve: Ratio Tape Diagrams: Given the Difference
The difference fills the extra boxes in the longer tape. Divide the difference by the number of extra boxes to find the value of one box. Then multiply: an amount = its number of boxes × the value of one box. For a ratio of 4 : 5 with 3 more dogs than cats, 1 extra box is 3, so there are 4 × 3 = 12 cats, 5 × 3 = 15 dogs and 27 animals.
Try a similar one
At a soccer game, the ratio of home fans to away fans is 1 : 5. There are 20 more away fans than home fans. What is the value of each box?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The 4 extra girls fill the 2 extra boxes. 4 ÷ 2 = 2, so each box is 2. The girls have 5 boxes: 5 × 2 = 10.
✓ Correct!
Not quite. The answer is
💡 The 4 extra girls fill the 2 extra boxes. 4 ÷ 2 = 2, so each box is 2. The girls have 5 boxes: 5 × 2 = 10.
💡 How to solve: Ratio Tape Diagrams: Given the Difference
The difference fills the extra boxes in the longer tape. Divide the difference by the number of extra boxes to find the value of one box. Then multiply: an amount = its number of boxes × the value of one box. For a ratio of 4 : 5 with 3 more dogs than cats, 1 extra box is 3, so there are 4 × 3 = 12 cats, 5 × 3 = 15 dogs and 27 animals.
Try a similar one
In a bag, the ratio of red marbles to blue marbles is 2 : 5. There are 6 more blue marbles than red marbles. What is the value of each box?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The 6 extra dogs fill the 3 extra boxes. 6 ÷ 3 = 2, so each box is 2. The dogs have 5 boxes: 5 × 2 = 10.
✓ Correct!
Not quite. The answer is
💡 The 6 extra dogs fill the 3 extra boxes. 6 ÷ 3 = 2, so each box is 2. The dogs have 5 boxes: 5 × 2 = 10.
💡 How to solve: Ratio Tape Diagrams: Given the Difference
The difference fills the extra boxes in the longer tape. Divide the difference by the number of extra boxes to find the value of one box. Then multiply: an amount = its number of boxes × the value of one box. For a ratio of 4 : 5 with 3 more dogs than cats, 1 extra box is 3, so there are 4 × 3 = 12 cats, 5 × 3 = 15 dogs and 27 animals.
Try a similar one
In a class, the ratio of girls to boys is 1 : 5. There are 20 more boys than girls. What is the value of each box?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The 4 extra dogs fill the 2 extra boxes. 4 ÷ 2 = 2, so each box is 2.
✓ Correct!
Not quite. The answer is
💡 The 4 extra dogs fill the 2 extra boxes. 4 ÷ 2 = 2, so each box is 2.
💡 How to solve: Ratio Tape Diagrams: Given the Difference
The difference fills the extra boxes in the longer tape. Divide the difference by the number of extra boxes to find the value of one box. Then multiply: an amount = its number of boxes × the value of one box. For a ratio of 4 : 5 with 3 more dogs than cats, 1 extra box is 3, so there are 4 × 3 = 12 cats, 5 × 3 = 15 dogs and 27 animals.
Try a similar one
On a bookshelf, the ratio of comic books to novels is 5 : 2. There are 6 more comic books than novels. What is the value of each box?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The 4 extra away fans fill the 1 extra box. 4 ÷ 1 = 4, so each box is 4. The home fans have 4 boxes: 4 × 4 = 16.
✓ Correct!
Not quite. The answer is
💡 The 4 extra away fans fill the 1 extra box. 4 ÷ 1 = 4, so each box is 4. The home fans have 4 boxes: 4 × 4 = 16.
💡 How to solve: Ratio Tape Diagrams: Given the Difference
The difference fills the extra boxes in the longer tape. Divide the difference by the number of extra boxes to find the value of one box. Then multiply: an amount = its number of boxes × the value of one box. For a ratio of 4 : 5 with 3 more dogs than cats, 1 extra box is 3, so there are 4 × 3 = 12 cats, 5 × 3 = 15 dogs and 27 animals.
Try a similar one
In a bag, the ratio of red marbles to blue marbles is 1 : 4. There are 9 more blue marbles than red marbles. What is the value of each box?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The 2 extra goldfish fill the 1 extra box. 2 ÷ 1 = 2, so each box is 2. The guppies have 2 boxes: 2 × 2 = 4.
✓ Correct!
Not quite. The answer is
💡 The 2 extra goldfish fill the 1 extra box. 2 ÷ 1 = 2, so each box is 2. The guppies have 2 boxes: 2 × 2 = 4.
💡 How to solve: Ratio Tape Diagrams: Given the Difference
The difference fills the extra boxes in the longer tape. Divide the difference by the number of extra boxes to find the value of one box. Then multiply: an amount = its number of boxes × the value of one box. For a ratio of 4 : 5 with 3 more dogs than cats, 1 extra box is 3, so there are 4 × 3 = 12 cats, 5 × 3 = 15 dogs and 27 animals.
Try a similar one
In a parking lot, the ratio of cars to trucks is 5 : 1. There are 20 more cars than trucks. What is the value of each box?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The 3 extra muffins fill the 1 extra box. 3 ÷ 1 = 3, so each box is 3. There are 7 boxes in all: 7 × 3 = 21.
✓ Correct!
Not quite. The answer is
💡 The 3 extra muffins fill the 1 extra box. 3 ÷ 1 = 3, so each box is 3. There are 7 boxes in all: 7 × 3 = 21.
💡 How to solve: Ratio Tape Diagrams: Given the Difference
The difference fills the extra boxes in the longer tape. Divide the difference by the number of extra boxes to find the value of one box. Then multiply: an amount = its number of boxes × the value of one box. For a ratio of 4 : 5 with 3 more dogs than cats, 1 extra box is 3, so there are 4 × 3 = 12 cats, 5 × 3 = 15 dogs and 27 animals.
Try a similar one
At a soccer game, the ratio of home fans to away fans is 5 : 3. There are 8 more home fans than away fans. What is the value of each box?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The 10 extra trucks fill the 2 extra boxes. 10 ÷ 2 = 5, so each box is 5. The cars have 3 boxes: 3 × 5 = 15.
✓ Correct!
Not quite. The answer is
💡 The 10 extra trucks fill the 2 extra boxes. 10 ÷ 2 = 5, so each box is 5. The cars have 3 boxes: 3 × 5 = 15.
💡 How to solve: Ratio Tape Diagrams: Given the Difference
The difference fills the extra boxes in the longer tape. Divide the difference by the number of extra boxes to find the value of one box. Then multiply: an amount = its number of boxes × the value of one box. For a ratio of 4 : 5 with 3 more dogs than cats, 1 extra box is 3, so there are 4 × 3 = 12 cats, 5 × 3 = 15 dogs and 27 animals.
Try a similar one
At a soccer game, the ratio of home fans to away fans is 5 : 1. There are 20 more home fans than away fans. What is the value of each box?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Ratio Tape Diagrams: Given the Difference — Easy Worksheet 2
Use the tape diagram. Find the value of one box first, then answer the question.